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with a strong wind behind it, a United Airlines jet flies 2400 miles from Los Angeles to Orlando in 4 3/4 hours.
\n" ); document.write( " The return trip takes 6 hours, as the plane flies into the wind.
\n" ); document.write( "Find the speed of the plane in still air, and find the wind speed to the nearest tenth of a mile per hour.
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\n" ); document.write( "Let s = plane speed in still air
\n" ); document.write( "Let w = speed of the wind
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\n" ); document.write( "Write two distance equations: dist = time * speed
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\n" ); document.write( "4.75(s+w) = 2400
\n" ); document.write( "and
\n" ); document.write( "6(s - w) = 2400
\n" ); document.write( "6s - 6w = 2400
\n" ); document.write( "Simplify, divide be 6
\n" ); document.write( "s - w = 400
\n" ); document.write( "s = (w+400)
\n" ); document.write( ":
\n" ); document.write( "In the 1st equation replace s with (w+400)
\n" ); document.write( "4.75(w + 400 + w) = 2400
\n" ); document.write( "4.75(2w + 400) = 2400
\n" ); document.write( "9.5w + 1900 = 2400
\n" ); document.write( "9.5w = 2400 - 1900
\n" ); document.write( "9.5w = 500
\n" ); document.write( "w =
\n" ); document.write( "w = 52.6 mph is speed of the wind
\n" ); document.write( ":
\n" ); document.write( "Find s using s = w + 400
\n" ); document.write( "s = 52.6 + 400
\n" ); document.write( "s = 452.6 mph is the speed of the plane in still air
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\n" ); document.write( "Check this this in the 2nd equation
\n" ); document.write( "6(452.6 - 52.6) =
\n" ); document.write( "6(400) = 2400 \n" ); document.write( "